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JOURNALS // Russian Journal of Cybernetics // Archive

Russian Journal of Cybernetics, 2023 Volume 4, Issue 2, Pages 68–77 (Mi uk59)

This article is cited in 1 paper

A quantum mechanical approach to electrophysiology

O. E. Filatovaa, M. A. Filatovb, T. V. Voronyukb, M. I. Muzievab

a Surgut Branch of Federal State Institute “Scientific Research Institute for System Analysis of the Russian Academy of Sciences”, Surgut, Russian Federation
b Surgut State University, Surgut, Russian Federation

Abstract: For the last 100-120 years of studying the brain, nerves, muscles biopotential generation they were described as stochastic processes. The discovery of the Eskov–Zinchenko effect (stochastic instability of any homeostatic system sample datasets) makes it impossible to apply stochastic laws to electrophysiology. We can define biopotentials with their magnitude \textit{x${}_{1}$} as the first phase coordinate and their variation rate ${{x}}_{{2}}{=}{{dx}}_{{1}}{/dt}$ as the second coordinate. In such a 2D phase space, we defined an analog to the famous Heisenberg uncertainly principle (for $\Delta {{x}}_{{1}}$ and $\Delta {{x}}_{{2}}$ variation ranges). We also present the similarities between electrophysiology and quantum mechanics. We suggested to estimate the properties of pseudo-attractors in the 2D phase space of biopotentials (for the ${x}\left({t}\right){=(}{{{x}}_{{1}},{{x}}_{{2}}{)}}^{{T}}$ vector) instead of the statistical ${f(x}$) functions.

Keywords: chaos, uncertainly, Eskov–Zinchenko effect, pseudo-attractors.

DOI: 10.51790/2712-9942-2023-4-2-10



© Steklov Math. Inst. of RAS, 2024